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164430189 = 33711139569
BaseRepresentation
bin10011100110100…
…00000101101101
3102110101220211000
421303100011231
5314043231224
624152150513
74034430210
oct1163200555
9373356730
10164430189
11848a8920
1247098439
13280b2091
1417ba3777
15e6800c9
hex9cd016d

164430189 has 64 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 84654720.

The previous prime is 164430179. The next prime is 164430191. The reversal of 164430189 is 981034461.

164430189 is a `hidden beast` number, since 1 + 644 + 3 + 0 + 1 + 8 + 9 = 666.

It is not a de Polignac number, because 164430189 - 25 = 164430157 is a prime.

It is a super-3 number, since 3×1644301893 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164430139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 288697 + ... + 289265.

It is an arithmetic number, because the mean of its divisors is an integer number (4788000).

Almost surely, 2164430189 is an apocalyptic number.

It is an amenable number.

164430189 is a deficient number, since it is larger than the sum of its proper divisors (142001811).

164430189 is a wasteful number, since it uses less digits than its factorization.

164430189 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 164430189 is about 12823.0335334507. The cubic root of 164430189 is about 547.8485526846.

The spelling of 164430189 in words is "one hundred sixty-four million, four hundred thirty thousand, one hundred eighty-nine".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 139 189 231 297 417 569 693 973 1251 1529 1707 2079 2919 3753 3983 4587 5121 6259 8757 10703 11949 13761 15363 18777 26271 32109 35847 41283 43813 56331 79091 96327 107541 131439 168993 237273 288981 394317 553637 711819 870001 1182951 1660911 2135457 2610003 4982733 6090007 7830009 14948199 18270021 23490027 54810063 164430189